Title: Limitation of the 2D parallel flow assumption in thermosolutal convection: 2D-3D transition

Authors: K. Choukairy; C. De Sa; R. Bennacer

Addresses: Ecole Nationale des Sciences Appliquées, Laboratoire MMII, Université Hassan 1 SETTAT, Equipe Energétique, BP: 77, Khouribga, Maroc, Morocco ' DGC/LMT-ENS Cachan, 61 av. du président Wilson F94235 Cachan, France ' DGC/LMT-ENS Cachan, 61 av. du président Wilson F94235 Cachan, France

Abstract: In this study, we investigated numerically two- and three-dimensional convective heat and mass transfer in a horizontal rectangular enclosure filled with heterogeneous porous media. The main goal is to underline the limitation of the widely used classical parallel flow assumption. The considered configuration is Cartesian. The horizontal and vertical walls are submitted to different mass and heat transfer. The Darcy model and the Boussinesq approximation are considered. The governing parameters which control the problem are the Darcy-Rayleigh number, Rt, the buoyancy ratio, N, the enclosure aspect ratio, A, the local permeability ratio, Kr and the Lewis number (fixed to ten in the present study). The obtained results with two-dimensional (2D) and three-dimensional (3D) approaches are compared to underline similarities and differences. We demonstrate the limit validity of 2D solution and the transition to 3D solutions when the convective forces or the domain permeable heterogeneity increases. The flow intensity, heat and mass transfer increases with the domain permeable heterogeneity.

Keywords: convective flow; 3D bifurcation; heterogeneous domain; porous media; thermosolutal convection; 2D parallel flow; heat transfer; mass transfer; fluid dynamics; parallel flow assumption; 2D-3D transition; rectangular enclosures; flow intensity.

DOI: 10.1504/PCFD.2016.075160

Progress in Computational Fluid Dynamics, An International Journal, 2016 Vol.16 No.2, pp.102 - 107

Published online: 05 Mar 2016 *

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